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Finding the Fourth Proportional to 3,154.36, 4,353.02 and 1,828.32

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Solution

The fourth proportional to 3,154.36, 4,353.02 and 1,828.32 is: 2,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.36 : 4,353.02 = 1,828.32 : x
  2. Step 2: Convert to fraction form
    3,154.36/4,353.02 = 1,828.32/x
  3. Step 3: Cross multiply
    3,154.36x = 4,353.02 × 1,828.32
  4. Step 4: Simplify right side
    3,154.36x = 7,958,713.53
  5. Step 5: Solve for x
    x = 7,958,713.53/3,154.36
  6. Step 6: Final answer
    x = 2,523.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.